I do understand what you ask. First of all power wire you run as power bus. Connection to strip in injection point you can do with short piece of smaller gauge wire from your bus wire. It’s called “T” splice or connection.
this is what i want to know if it makes sense to solder a thinner cable and connect it to the bigger cable, i think your answer is yes, but just to get sure , my point is abut the voltage drop, is there any if the thn cable is only a few centimeter?
how long is the LED strip and how many leds per meter?
I was able to use 0.75 wire at 5 meters strip/60 Leds per meter without any problems. I had connected the wire parallel to the power of the LED strip itself.