Depends on the time zone and changes to it. If it's a timezone without seasonal changes and its other properties don't change during the life of the organization, that's fine; maybe it's not ideal, but it's fine.
If it's a timezone that has its operational properties change, you have the potential for confusion where there is disagrement about when a given time happened or will happen; think about how fun it is when daylight savings rules change. Sometimes, although not really that often, a time zone's offset is simply changed; hopefully with warning, but maybe not.
If the timezone has daylight savings, you get to deal with all the fun of most days having 24 hours, but some having more or less.
If the organization moves to a new time zone, either because it physically moves or because the locality its in changes time zones for whatever reason, now you have a problem; it's not fun to deal with multiple time zones in server infrastructure, but now you have to pick if you want to move all the servers, move only some servers, or have your servers in a different time zone than your org. If the last option was fine, you might as well use a sensible timezone to begin with.
If it's a timezone that has its operational properties change, you have the potential for confusion where there is disagrement about when a given time happened or will happen; think about how fun it is when daylight savings rules change. Sometimes, although not really that often, a time zone's offset is simply changed; hopefully with warning, but maybe not.
If the timezone has daylight savings, you get to deal with all the fun of most days having 24 hours, but some having more or less.
If the organization moves to a new time zone, either because it physically moves or because the locality its in changes time zones for whatever reason, now you have a problem; it's not fun to deal with multiple time zones in server infrastructure, but now you have to pick if you want to move all the servers, move only some servers, or have your servers in a different time zone than your org. If the last option was fine, you might as well use a sensible timezone to begin with.