Half Cut cells do provide some better partial shading performance:
Keep in mind that this video is covering specific examples that may be present in a
home build since the panels are static (not moving) and the shading progressions are known and consistent.
Our rig based mounting means sun shading is always in flux so the benefits of a Half Cut cell panel may really be minimal since shading is always changing. I would also do a bit more research as to the durability of half cell panels in high vibration prone applications.
An eight year old glass topped panel should not be diminished that much to warrant replacement. Perhaps there are other issues contributing to the lower output. Connections integrity, serial vs parallel panel connection (shading), solar controller, battery condition.
Certainly test your solar panels individually for voltage and current before getting new panels:
At the same time you can play with shading scenarios to see how the voltage and current change. A deeper test, if you suspect problems with a panel, can include checking the bypass diodes on the panel. Do a search for that.
I agree with twoxentrix - a suitcase supplement would be a good call if you find your self in shaded sitiuations.