Hi I am using Capture One for my workflow. I am interested in working with lrtimelapse and would like to know if it will be available with Capture One in the future or if its strickly bound to LR.

Sorry no. We had that many times already. C1 doesn't offer the required interfaces. Apart from that in comparison to Lightroom it's a rather expensive niche product. And also my capacities are limited, I cannot develop another "LRTimelapse" for another Raw Converter.
Lightroom Classic is 8-10 Bucks monthly depending on the discount you get via Amazon or the like. I think it's totally worth it, even if you only use it for timelapse.