I can report, for the benefit of those similarly frustrated with their current counting methods, that the manual tally counter is TERRIFIC!
One need only reach over to it and click the little press thinggy on the top, and lo and behold! - it clicks over to the next number.
OK, so you know that's how a tally counter works: but I'm letting you in on the fact the using it to count knitting rows is BY FAR the best way of all!
Well, until someone else finds something better ...