In comparison to how Bitcoin is operating right now, there is no such a thing as severly limited when it comes to the Lightning Network. However, if we look at one of the major points that might potentially be seen as a somewhat limiting factor, then it will be the block size of Bitcoin. LN requires a decent amount of block space, especially if its usage increases significantly globally. Also take into consideration that the general demand for block space has been growing exceptionally throughout the years. In that regard, larger blocks is definitely a must in order to properly run LN. Regarding the fees, since transactions will be focused off-chain, you'll be enjoying extremely cheap transactions. Exactly this is the reason LN mostly gets pointed at as being an ultimate implementation to allow micro transactions to take place. That being said, at this point we're far, far away from seeing LN become operational.