Could it be that the float on this stock is so small that when index funds try to buy the stock, the price is pushed up massively? A theoretical problem with m

Could it be that the float on this stock is so small that when index funds try to buy the stock, the price is pushed up massively? A theoretical problem with market-cap-weighted index funds is that a fund that holds x percent (usually very small) of the world's wealth will want to buy x% of each company. If a company has less than x% of stock outstanding, the fund will push the price up indefinitely