I'm not sure you understand how Linear Simulcast Modulation works. All transmitters for a given channel in a simulcast "site" transmit on the same frequency, so there is no "switching over" as far as LSM goes. Gx pagers handle LSM very well, and will receive well so long as you're within range.
"Switching over" comes into play when there are multiple sites for a system, some or all of which may be LSM. The Gx pager firmware finds the best site when arriving on a system, and remains on that site until it detects a high enough error rate that it consider it out or range. Only then will it again look for the best site for the system (as you have it programmed)