I have been using my using my Singer 201 and Singer 237 to sew a V138 thread in vinyl and webbing for some time now. A few simple modifications were needed to make the machines do that resonable well.
Normally you will see recommendations, that you should limit the thread size for all domestic machines to V69 (tex 70) thread. I think it is true mainly because of limited thread tension and limited punching power of the motor.
My Singer 201k have sewn about 2000 m of tex 135 thread now, and I have not seen any signs of wear. But I guess that you can expect the machine to be weared faster with the heavier load on it. But these vintage machines are in easy cheep supply in my country, and I am not that afraid to use some of them for heavier work.
I know that it may be easier to use an industrial sewing machine, but it is heavy and takes up space. Furthermore you do need to know what you are doing in both cases, and the consequences of a mistake can be costly for an industrial machine.
This is a video of my Singer 201k sewing tex 210 polyester thread in 6 layers of vinyl. In the last part of the video is a list of the modifications to it:
https://youtu.be/21D5S8ihspI