So multiplexing access to the RTL-SDR. Yes, that needs to quit rtl_433 (unless it's the same band, then maybe try the rtl_tcp pass-through).
Options might be to run rtl_433 for a fixed time (guessing the LaCrosse sends fairly regular and quickly) or to use a second RTL-SDR -- you might want that for the option to use different antennas (no 433/137 dual bands IIRC) anyway.
But I guess your parsing script to start and stop rtl_433 with event counting and timeouts is really the best way to have that degree of control.