It's just the underline, there is no strikethrough - that example is from another font.

In Britain many people (who can't write properly) have a problem with the more cursive style of r and z. One of my previous script fonts Gizmo had cursive style r and z as default, and I get enraged every time I see a really bad botch 'alteration' of these two characters. So I have made a more 'standard' style as default.

I have now created a style set of an alternate cursive style r and z (and related diacritics, ligatures), for people who can write properly and recognize the characters for what they are. Is this a good idea?

That lower form of /r/ works far better when the previous letter leads into it from below (Lower "Bright" looks like "Beight" and "Arrange" like "Aerange" to me.) Meanwhile the lower form of /z/ works far better when there isn't a lead-in.
I think the set-up of the cursive letters as alternates makes good sense.

It's strange how people perceive things differently Craig - I see Bright and Arrange, I don't see e's at all. Besides, that's how I would (do) write, I wouldn't lead in from the bottom after an A or B.

I don't know if I see e, but it doesn't flow so well for me, too. Maybe it's because I was taught that, even if it follow an high exit stroke (such as o or f), the enter stroke of r will always be bending like a smile and not like a frown.

Great Nick, it will be a very useful typeface. Which would have been very difficult to produce in lead. :)

It's strange how people perceive things differently Craig
I think it’s mostly just a matter of models. The "British people (who can't write properly)" are accustomed to a form more related to the corsiva Cancelleresca, unconnected, while the two connected forms (especially the "descending" z) are common in calligraphic styles which are not constantly used. You are right, however, by saying that this is due to a lack of culture, and history of our alphabet.
I think the observation riccard0 made is more related to how [A] connects to the subsequent lowercase letters. The stroke makes a curve, and this looks strange. I think [A] does not need so much ligatures, which are otherwise neat with [B] or other capital letters.
About the [N]: keep both forms, one as alternate.

Evidently I couldn't.

Rollerscript Rough and Smooth are now released exclusively on my BRAND NEW WEBSITE! That's right! I'm shouting about it!

You can find them here.

Not only that, but they also have a 25% discount for the whole of February along with every other G-Type font, many of which have been updated/extended/improved to OpenType.

Congrats and good luck, Nick. Looks like a winner.