There is one central gigabit switch with 4 * 100Mb switches connected to it using fast etherchannel. There's also another gigabit switch connected to the central switch. There are no redundant paths unless you count two cables going from one switch to another bundled using fast etherchannel. Similarly the servers are all connected to the central switch with a couple of cables using LACP or fast etherchannel.
The only connections between the switches all go to the central switch, the edge switches are not interconnected.
I've just been told by the customer I set this up for that it may be very slow because all traffic may go to one of the slower "edge" switches and back again just because that may have the highest priority as far as spanning tree is concerned. That doesn't make much sense to me.
So question is did I set it up wrong by not fixing priorities or doesn't it matter if there are no alternate paths?