The number you refer to is a plate number. The strip of 3 with the number on the middle stamp is known as a plate number strip. Yours would be referred to as a PS3 (the 3 in this case refers to the number of stamps in the strip). These strips are collected (usually in a PS5 format) ... and yes, they are more valuable than a plain strip. For a few coil strips, some plate numbers are rather valuable. But for the Stutz Bearcat, a PS5 has a catalogue value of $1.40. Scott does not give a value for a PS3. Some plate numbers can be scarcer than others and hence are more valuable. But for your stamp, all 4 plate numbers (1 thru 4) have the same CV.
The 2017 PNC Values List published by the Plate Number Coil Collectors Club lists strips of 3 at $1.05 for any of the four plate numbers. This is a median price calculated from asking prices from participating dealers' price lists. The prices used ranged from 80c to $1.35.
Scott prices strips of 3 for some earlier PNCs but there's a note preceding Scott # 2123 that states "Beginning with No. 2123, coil plate No. strips of 3 usually sell at the level of strips of 5 minus the face value of two stamps."