When buyer buys BTC from me through escrow, does he see my Localbitcoins wallet address or he see escrow address only?
Unless you actually send him an address to pay to (which makes no sense when you are using LBC, since escrow protection would be the only reason you use LBC instead of dealing direct), then no, they don't see any of your addresses.
Everything is done on localbitcoins once the deal is open, so there isn't really any on-chain activity that goes on anyways. It makes no sense for Localbitcoins to disclose your deposit address to others when there is literally no point of doing so.
Also, if you're talking about bitcoin addresses in general, and not just your localbitcoins deposit address, then there is even less reason to worry. LBC has no way of knowing which addresses on the blockchain are yours in the first place, let alone being able to relay that information to others.