If I understand your example correctly, then this would simply be a case of HODLing.
If I understand your example correctly, then this would simply be a case of HODLing. It would be inaccurate to compare value appreciation of HODLing to value appreciation of investing in a liquidity pool because in the latter case, the value of your investment is dependent on a) the value of the pool's tokens (affected by demand and supply) + b) trading fees earned.