I would say it is a mixed bag and will depend on how you define your collection.
If the goal is to get all cards created, like a rainbow, from the set, then maybe, and only if you can afford it. It essentially comes to financial means. For instance, Topps Gold Label produced 3 years, of which 2 had the gold, black, red tier system for each player. Each had classes 1, 2, & 3. Each had 1/1’s for each color and tier. That essentially means that there are 9!!! 9 printed 1/1’s for each player! Thinking that there are 9 cards, alone, to chase, of which the reds were /100, /50, /25, it made it difficult to obtain the base version let alone get a single 1/1 of that player. So, in this case, you may believe that the 1/1’s will be bonus, and a slow collection would be best but essentially the goal may never be met.
This idea goes for other current sets: Artifacts, OPC platinum are the ones that stand out as having a base card paralleled to 1/1.
Special
Inserts, such as printing plates, should not be included as they are not obtained through the set on most basis. UD & OPC/OPC Plat have been known to toss plates into packs. When it comes to rc plates, THE CUP usually has the sets from the other set (UD, The CUP, SPx, SPa) and getting these, if you want to include these, should be seen as bonus. Claim victory once a plate Quincy has been obtained!!
All in all…going to include 1/1’s, you will be in the same boat as people trying to create quincy’s and some sets…the card that you need may never appear…ever.
I have been collecting for 30 years. I have 3 cards that could be part of someone’s collection: Will Carrier ITG patch (print run of 8, I believe someone has the other 7), Erik Brannstrom Artifacts 1/1 patch/tag/auto (pulled from box, but hits a goal for me from the set), and Patrick Roy SPGU Fight Strap /3 (never seen another).
Once you complete something, it may be hard to sell. The Crosby Fight Strap set from the same year as my Roy, has been attempted to sell as a set and is currently trying to be sold separately. And yes, that is a hella feat in the 1st place!