I'd say depends on how small the savings are and what kind of investment you're looking for? Bitcoin regardless of its being up since its release after a decade, is still a risky investment imo. After all it's not like you're investing from the start, you're investing now. And it's pretty volatile as we know so really, if you can risk it sure go ahead. But if you were looking for something solid to invest in, I'd go for the usual options that people get, e.g. the 401k in the US. Even holding it in the back can be safer sure, still lower gains though but yeah, safer.
Maybe instead of looking at you're savings, look at some expenses you've been having but don't necessarily need to, well, spend? E.g. all those subscriptions you have to Netflix, Spotify, etc. I reckon that's a lot better as an option.
There is something interesting from some of the opinions you convey, namely "You didn't invest from the beginning anyway" and this should be a reminder to all of us that those who enter BTC earlier will be more flexible and safe in determining all investment decisions or something they want to invest in next and of course the profit value is also very different if our conditions enter now compared to at the beginning. What is certain is that even though it is different, I am sure the price of BTC will rise again in the future.