I understand why this was asked. UConn has won the National Championship a few times coming out of the west and that the east has often been one of the toughest regions to get out of.
With that said, if UConn ends up as one of the 4 number one seed, they will clearly put them in the east. But note that they've changed how they place teams during the early rounds of the tournament, where the higher seeded teams within those matchups are often place closer to home. It's most likely UConn will play their games in Brooklyn and then Boston, against teams where we have a regional advantage. Though there's always the chance that we'll face a lower seed that is from the northeast.
It's always a crap shoot to see what regions the committee places the 2, 3 and 4 seeds. They never admit it, but they don't always place them based on where they fall within each line. They often seem to manipulate some interesting matchups. Looking at the current top 25 there are a lot of very good teams lump together between #3 and #16, and one might argue that the number two team Purdue is closer to that group than they are to UConn. Talent has been spread out through so many programs due to the transfer portal creating a lot of parity like w've never seen in the past.
The West has often been the easier path for a program not from that part of the country due to the lack of elite teams on the far side of the country. Other than Arizona, there are going to be some very good teams seeded 2, 3 and 4 in that region that are from other areas of the country that will be just as tough as in the other 3 regions. The committee often doesn't balance regions all that well, but since the top 16 or more teams are pretty bunched together talent wise, other than manipulating things as far as style of play and tough matchups, there won't likely be much of a difference between each region this year.