Yes, there will be 'some' that lean more towards on/off, which 'could' give some indication of the data that was there before, but you need an electron magnetic force microscope to see them, you have to hand-calculate the results, and if you read a single bit wrong, your data is off.

Single pass will put 99.9% of all your magnetic bits to the 'wrong' position for data recovery. Company tax records, old user accounts, even employee data like social security numbers and such just isn't worth someone spending time in a clean room trying to eke out single bytes of data at a time. State secrets, Fortune 500 company secrets, etc, that you'll want nothing short of a full physical destruction, because there is enough money in politics / corporate espionage that someone may take the time to try, and due diligence would require you to 100% remove that chance. Heck, even if you ARE releasing disks to a 3rd party, single-pass is still probably fine, again depending on the data you have. If you're not going to be releasing the disks to a 3rd party, and you don't expect someone to be willing to spend $10,000+ to get your data (or have access to a lab with magnetic force microscopes), a single-pass wipe will be totally fine. The rest of this will almost certainly go against the grain of this sub, but I'm going to do the best I can to support my position with both examples and sources from people much smarter than me.

The following doesn't really apply to SSDs. TL DR right up front: you probably don't need to do anything, assuming you're talking spinning disks. It really depends on what you're protecting.

Active killdisk key