I tested again today and it looks like only the All and Replies filter are concerned, and their limit is Last month (so 1 month, not 2 weeks). Follows and Builds category show an Older section.

For Payments, I can’t tell because I don’t have a commercial game on my profile.
So basically we’d just need a “Show more…” button or pagination for Replies (or All) display. Since there can be many Replies, I understand the point of not loading them all at once.
Note: the exception is if you haven’t checked your notifications for a while, in which case all the new notifications will be displayed with the “new” indicator. However, next time you refresh the page, the entries older than 1 month won’t be displayed. That can be an issue if you clicked your notifications to check a few of them, then don’t have time to check them all, come back the next day (or after an accidental refresh, or simply navigating to one of the notification hyperlinks and then click back on notifications page without keeping it open all the time), as you’ll lose information about the older reply. In my case I had many notifications to catch up so it took me a long time to get through time, I had to stop at some notification 112 days ago (3-4 months ago). That means that I potentially missed numerous replies that happened 2-4 months ago.
But wait, I just checked the Replies “Last month” section and the oldest one displayed is from 53 days ago. So is the section label lying? It seems to indicate “Last month OR two months ago” or “Up to two months ago”. That’s better, but I may still have missed Replies from 3-4 months ago.
EDIT: One workaround could be to enable email notifications to make sure you always have a permanent record of the event: https://itch.io/user/settings/email-notifications => check People reply to my posts and topics
but the point of disabling it is to reduce email load, as I know I regularly go to itch to check my in-site notifications anyway…