Every situation is different but for my own it was much easier to pull the head with the engine in place. Picture a slightly sloped, uneven parking space with no room for a hoist and no way to roll it around anyway, etc. I've enjoyed working in well equipped shops in the past but compromised the garage/workshop space on the current house
We all have different lifting/carrying capabilities but I didn't find the head to be that heavy and with some prep/planning you can create landing places for it so that you can safely move it one step at a time into position without as much risk of mishap or gasket damage/etc. That way you can get into the right position to lift and move the head through each part of it's trip and avoid being overextended, off balance, etc. which could quickly make the head impossible to manage. On install an extra set of hands to lift/guide the front-end of the head while you manage the rear and the actual alignment/placement could be helpful.
As mentioned above you can leave the lower intake and harness where they are and just pull them back to remove the head. I did this and then after the head was out of the way I cut the chunk out of the lower intake that allows the harness to then be left while I removed the lower intake for cleaning. Cutting the lower intake with the head in place would be harder. Make sure you keep the alu pieces out of the block.
A board from fender to some point on the engine can be used to lay on and get much more comfortable access to areas around the firewall/etc. while you are working.
Plan to pull the intake/air filer/battery box/ etc. to make work easier but I didn't end up pulling the radiator and it didn't impact my work. I did put a piece of cardboard over the fins to protect them and I pulled the shroud to make changing the oil pump seal, front main seal, etc. easier.
I didn't remove the hood to pull/reinstall the head but it may have made things a little easier at times. I was working outside and wanted to keep things covered whenever I wasn't actively working so the hood was an asset as was covers for the block, wd40, etc.
I've worked on much more challenging projects than removing/replacing the head on the 1FZ and that may be why I didn't find doing it in place to be that big of a deal. Those harder projects got me in the habit of breaking the work down into manageable chunks (learned the hard way). If I had a shop with room I'd probably have pulled the engine but not to save time on the head work, to allow more extensive updates. If I had a shop with a lift... etc. etc.
I'm sure that many/most of the folks recommending pulling the engine to do the HG have done plenty hard mech. projects, etc. and I know that their recommendations have good merit. I share the above to encourage folks like me that need an alternative approach because they don't have the facilities/space to pull the engine but could benefit from a DIY head gasket replacement.