I have changed Update Interval to 5 and Buffer Size to 0. I tinkered a little so it was not straight from default. That produced the following TRACE:
2018-01-04 18:58:52.286 [TRACE] [.LaCrosseTemperatureReadingConverter] - Creating reading from: OK 9 56 129 5 58 38
2018-01-04 18:58:52.294 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=33.8 (33.8), humidity=38, batteryNew=true, batteryLow=false
2018-01-04 18:58:52.610 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=22.2 (22.215014), humidity=54, batteryNew=true, batteryLow=false
2018-01-04 18:58:53.656 [TRACE] [connection.AbstractJeeLinkConnection] - Read line from port /dev/ttyUSB0: OK 9 12 1 4 154 64
2018-01-04 18:58:53.657 [TRACE] [.LaCrosseTemperatureReadingConverter] - Creating reading from: OK 9 12 1 4 154 64
2018-01-04 18:58:53.659 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.8), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:58:55.071 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.800001), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:58:56.724 [TRACE] [connection.AbstractJeeLinkConnection] - Read line from port /dev/ttyUSB0: OK 9 56 129 5 58 38
2018-01-04 18:58:56.727 [TRACE] [.LaCrosseTemperatureReadingConverter] - Creating reading from: OK 9 56 129 5 58 38
2018-01-04 18:58:56.730 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=33.8 (33.8), humidity=38, batteryNew=true, batteryLow=false
2018-01-04 18:58:57.231 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.8), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:58:57.619 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=22.2 (22.215014), humidity=54, batteryNew=true, batteryLow=false
2018-01-04 18:59:00.083 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.800001), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:59:01.152 [TRACE] [connection.AbstractJeeLinkConnection] - Read line from port /dev/ttyUSB0: OK 9 56 129 5 59 38
2018-01-04 18:59:01.155 [TRACE] [.LaCrosseTemperatureReadingConverter] - Creating reading from: OK 9 56 129 5 59 38
2018-01-04 18:59:01.160 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=33.9 (33.9), humidity=38, batteryNew=true, batteryLow=false
2018-01-04 18:59:01.274 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=22.9 (22.91499), humidity=53, batteryNew=true, batteryLow=false
2018-01-04 18:59:01.840 [TRACE] [connection.AbstractJeeLinkConnection] - Read line from port /dev/ttyUSB0: OK 9 12 1 4 154 64
2018-01-04 18:59:01.841 [TRACE] [.LaCrosseTemperatureReadingConverter] - Creating reading from: OK 9 12 1 4 154 64
2018-01-04 18:59:01.843 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.8), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:59:02.243 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.8), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:59:02.625 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=22.2 (22.215014), humidity=54, batteryNew=true, batteryLow=false
2018-01-04 18:59:05.098 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.800001), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:59:05.595 [TRACE] [connection.AbstractJeeLinkConnection] - Read line from port /dev/ttyUSB0: OK 9 56 129 5 59 37
2018-01-04 18:59:05.598 [TRACE] [.LaCrosseTemperatureReadingConverter] - Creating reading from: OK 9 56 129 5 59 37
2018-01-04 18:59:05.601 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=33.9 (33.9), humidity=37, batteryNew=true, batteryLow=false
2018-01-04 18:59:07.255 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (12): temp=17.8 (17.8), humidity=64, batteryNew=false, batteryLow=false
2018-01-04 18:59:07.635 [DEBUG] [sse.LaCrosseTemperatureSensorHandler] - updating states for thing LaCrosse Temperature Sensor (56): temp=22.2 (22.215014), humidity=54, batteryNew=true, batteryLow=false
I changed configuration on both of my sensors, but it is most obvious for sensor ID 56, since I placed it on top of my heater afterwards.
As a side note I am not allowed to set Update Interval to 0, which should enable live mode.