People only care about the weight...how much they can do compared to how much somebody else can do. To most, the weight is a symbol of status. People look up to those who can lift more versus those who cannot.
It’s also the most common factor considered when analyzing progression. However, those who have been around the weight room a few times know that progression can come in many other forms besides just the increase of weight over time. For example, things like decreased rest time, greater control on the movement, ability to do more reps in a set, ability to do more overall sets, and etc. are all valid signs that gains are being made as well.
It is especially important to keep these in mind when looking at your own progression. Don’t be discouraged if you’re not able to increase the weight that you’re using with each new day. You could be progressing in one of the other aforementioned areas, and if so, then the addition of more weight is guaranteed to follow soon after.