rating

No.
Live games with time per side running from 3 minutes to 10 minutes are called blitz and have 1 rating.
Games under 3 minutes per side are called bullet. They have a separate rating.
Games over 10 minutes per side are called "rapid " here. They have their own rating.
You have only played live blitz. That's why you only have a blitz rating.
Note: There are also ratings for daily/ correspondence chess with a time limit of at least a day (24 hours) per move.
They are also adding ratings for Chess960 and some of the other variants.