the total supply is not very important for me, because for me the total supply is just an additional point for my research, so the most important thing is the team of the project, the product of the project, the partners of the project and the progress of the project, so the total supply is not too important for me and the important thing is that the product of the project is useful and the allocation of the total supply is clear.
Total supply finite or infinite make a difference. Bitcoin for example has a finite deflationary supply and that augments it's price in the long run. We have coins with infinite supply too and they often perform poorly as compared to those with limited supply. Of course the team and their project's development makes a difference too and these are equally important points to consider when making a complete decision of investing or not.
Overall supply and inflation are important factors to count in the decision making process of investment.