In the title you state the recipient (user) is on the iPhone 6s Mail app and in your last sentence you write about Outlook on a laptop. If you don't know I can't go look into this. I won't test it all 4 ways for anyone today.
That said, email and images have been iffy since the beginning. This is not a bug but how email works still today. That is, you're never quite sure how it will look on their end except the text body will always get through. Really upsets folk that want it to just work.
My initial emails work fine and the images are attached just fine... then once that person responds and I reply to that he is saying my emails are showing my signature as just the links of the images and not the images themselves.....
Any idea on how I can fix this or what the actual issue is?
Is it because this user replying to me is using outlook on a laptop and not ipad/iphone?

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