Does having hardware encoding chip help? I've been googling for a while now so I finally decided to ask others as well as I'm pretty darn confused.

I'm looking to be able to stream at 1080p at 60fps ( from a gaming laptop, it's more than capable, running actual game at 300fps uncapped ). I know about ShadowPlay and it's fairly easy to use but it's annoying how it automatically changes my stream's title and the quality is pretty bad even at best settings.

Then, I have found the Live Gamer Extreme which has 1080p at 60fps recording and hdmi passthrough, but it doesn't have h.264 encoding chip so I'm receiving RAW data in OBS ( there are cards that have hardware encoding chips already but those don't do 60fps as far as I can see )

So, does having a h.264 encoding chip help in any way ? 
Because I'd like doing the whole thing on one laptop and not having to use two laptops one for gaming and one for encoding would be great.

In OBS's Encoding tab I can't find any option like No encoding needed since the signal is already encoded, so, should I look anymore for 60fps w/ encoding chip or should I go with this game capturing card and use the other laptop for encoding.

Thanks in advance !
A hardware encoder will produce video with less CPU usage. However, it will require a higher bitrate to achieve the same quality image.