So the head loss will primarily be governed by the 1" outflow from the pump?
"Head loss" is dictated mostly by vertical distance AND piping restrictions from fittings. The higher the pump has to move water, the less effective it will be. Increasing the pipe size will reduce the speed of flow, and it may reduce the volume a bit more, because the pump will be pushing a greater volume of water vertically. It is easier to push less water the same distance. As davek pointed out, enlarging shouldn't make that big a difference.
Each fitting in the return line will create restrictions, and that will again reduce the flow. Some reefers use flexible tubing instead of fittings because it has a much longer sweep, versus a pvc fitting which makes hard bends. Flex tubing is much less restrictive for changes in direction. I did not use flex tubing, but I did not use any 90s (quarter bends) in my 3/4" return. I used 2x 45 degree fittings (eighth bends) instead to allow for better flow. However my return goes into a Tee fitting on the bullhead (the face of the bull, with 2 horns coming out the sides).
In any plumbing application that requires a code inspector, this will fail unless he/she is blind.... It is very restrictive AND in some applications can erode the fitting to the point it becomes a danger (steam and condensate especially). When I get around to redoing my terrible plumbing disaster, I plan on replacing the Tee with a "Waterway Wye". It is less restrictive, and more suited to water flow. If you do not plan on splitting the return into the tank, than by all means keep it at 1".
I have to agree with
@DaveK on the 1" vs 1-1/2". The cost of fittings is not terribly much, but the cost of valves starts getting pricey. Depending on the number of fittings you use it can add up however. If I had 3 overflow lines to the sump, I would probally use a bean-animal overflow...but I do not know how it is configured in your situation. I had to refresh my memory on herbie overflows, but it looks like they use 2 lines.
Also, as dave said, be aware of back siphon. What this is specifically is that IF/WHEN your pump is turned off by you or power outage, the return line will begin to suck water from the tank, down through the pump and into the sump. It will suck water UNTIL it is able to suck air. For a simple backflow prevention, you can drill a small hole in the return right at the tank's water line (Inside of the tank). This way, the instant the power goes off, it sucks air directly into the return line, and breaks siphon. I have a 1/16" hole in each of my returns right at water level. I get a bit of back siphon, but it quickly stops. I don't get much flow out of the hole when the pump is running, as the hole is very small, and the return is much larger....Water will take the path of least resistance every time.
I hope I am not being too technical.
*Edited some of my wording, because I am hard to follow even when I read it.....Even after edit, it still is hard to follow. Plumbing is hard to explain at times.
*Edit number 2. After researching Herbie overflow, I realized that I have a modified version of it. Wow, thats a great feeling.