There are cheaper table saw style wet saws as well. I have one and it works, but when I got the good overhead saw in the middle of a paver job at my house my everything improved. Because I wasn't frazzled and wore out from concentrating on cutting and the cuts came out 10 times faster and perfect every time I was better focused while laying the pavers too. Good tools make every aspect of the job easier. If I was cutting 10 stones I wouldn't worry about it. Cutting 50 or 100 adds up pretty quick. At the end of the day you will feel better and sharper too.
There are times those other tools are the right tool for the job. I'm also pretty fair (or I used to be) at cutting in a masonry box in a brick wall with an angle grinder, and finishing with a hammer and chisel. Those were the right tool for the job. Its like punching a hole through a concrete wall with a star drill for a conduit. Yeah, I can do it, but WHY!?!
No I am not a masonry contractor. LOL. I was a licensed communications contractor for 23 years and I cut, punch, drilled, and hammered a lot of hard stuff over the years. Sometimes I had to fix things too. Of course I've done plenty of personal projects over the years.
CAVEAT
To be fair I have always preached that good tools save time and money even if they cost more. Its a good rule for a contractor, tradesman, or craftsman of any kind. However, when I was doing the paver job I talked about above I was stubbornly just using the saw I already had like you. I was running paver sidewalk from the back door of my house to the concrete pad next to my work shop. I was completely white with paver mud from cutting on the little table saw cutter. I'd been at it for a day, and a half and I was less than 1/2 done. My wife showed up with the decent quality overhead wet saw and presented it as, "I already bought it so flipping use it." I was beat, so I took a short break and had a glass of water. I didn't really want to stop working for the time to assemble and learn how to use a new tool, but I resigned myself to it rather than get in an argument with SWMBO. I finished the rest of the job the same day. It was almost fun. It was easier, I still had daylight left to clean up and going fishing, and I actually felt like going.
Yeah, she's a good woman, and no she doesn't have a sister. LOL.