Well, sure - the shuttle probably ran on some type of fuel, expensive to store and transport.
The Transporter seemed to use much less energy, probably just the excess from the Dilithium crystal's used as power for the starship itself.
The only drawback was being limited to six people at a time.
If you really want to think about it..........
I got the Enterprise Blue prints. There is another transporter room that can send like 30 ppl at a time. Its on the lower deck somewhere.
Also, when the transporter broke, I noticed they never took the shuttle down instead. This bothered me to no end as a kid when I watched this.
Also the phasers, sometimes they carried the pistol version and sometimes the little version. But the pistol version had the little version mounted on the top, so I dont know what was different.
“The only drawback was being limited to six people at a time.”
The Galileo holds seven.
(As related to “Five Came Back”, EARLY Lucille Ball)