I can not see any good reason to use the Thomas compressor, lower flow rate and higher wieght than the 090 series Viar. The Thomas is also only rated for 100psi which means that it is slow to finish the refill cycle as it is asked to provide 115psi before it shuts off. Yes it has a higher thermal mass which is a blessing and a curse. It will take longer to reach a critical temp but it will also take longer to cool down.
If the low duty cycle of the Viair 090 series compressor is an issue then the "Industrial Grade" 250c is the way to go. Note the 090 series compressor is rated for 3 minute of continuous use and is then in need of a 30 minute rest period so well within the normal FRC qualifying match useage. Now elimination rounds is a different story. As Mr Forbes mentioned fan cooling will keep temps down during a match and allow it to return to ambient temp quicker if kept running between matches.
In addition as Mr Forbes noted the flow rate at 0psi is not what you should be looking at. The important spec is time to refill from 85psi to 115psi. Unfortunately they don't list that specific pressure range but you can still use the time to fill at the various pressure ranges and same tank size to compare the FRC legal compressors.
090c, 092c, 095c share these fill ratings.
http://www.viaircorp.com/90C.html#tabs-3
250c
http://www.viaircorp.com/250C-IG.html#tabs-3
Note with a 1 gallon tank the 090 series takes 30 sec to fill from 85 to 105 while the 250c takes 20 sec for the same fill.
At 60psi the 090 series will flow .53cfm vs .65cfm for the 250c IG.