Are the users going to trade with you or it's going to be another P2P platform?
If you're simply offering a similar platform to Paxful and LB, It's going to be hard to bring users unless your project has something that your competitors haven't and I don't think that simply saying that you have better support will do the trick.
I dont think they can create any other P2P as good as LocalBitcoin itself. This p2p platform is already spread across the globe like fire and most of the people are using it since many years now. The trust rating for this platform is like 5 star and I have hardly seen any complain against this exchanger. They have escrow service of their own which is fully automated and can be trusted all the time. Whether you are a seller or buyer the system confirm the both sides first and then only it releases your escrow. This is actually a fun way to make p2p and I dont think there will be any other out there.
I've been a successful trader on Localbitcoin for 3 yrs now. The only reason I'm taking on this venture is because other top traders and I have found the site to be lacking and not willing to advance and stay in pace with the ever changing P2P trading environment. Localbitcoin has plenty of pro's but it's time for some competitive markets to take place to help ensure growth overall. I do know they will be a hard adversary to go up against but if they can't make the changes the traders are asking for then they will surely lack in keeping their base.