Another possibility, but by no means a sure fire solution, is to use a UKF sniper to counter the LeiGs.
Sneak him forward, use him to spot for possible arty abilities, use snipers flare marker or just try to pick off models. Of course its very much map dependent but its an alternative at least.
LeiG spam, covered by a flack truck with IR halftrack and spec ops flare spam is an absolute nightmare for Brits as they don't have the indirect options to deal with it. More often than not, it means giving up the ground completly and holding out until you get something powerful out like LM's or crocs.
If I'm not mistaken there is also a bug with the LeiG's crew cover where its gives green cover for the sides as well which makes flanking an trying to gun down the crew harder than expected. Often times you get the jump on the LeiG but it can just walk away without losing models.
Keep in mind I'm pretty new to the game but I just watched VonIvan play a match against a Sim City Brit build and his 2 LeiG's couldn't kill the emplacements fast enough. I mean he had 2 LeiG's vetted to 5 stars too. They just couldn't do it. Even with a Sturmtiger helping it out.
Source: https://www.twitch.tv/videos/463899719 (its the first match of that stream)
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