Yup! This is Manic Miner alright! The only things missing are an ear-splitting rendition of The Blue Danube on the title screen and the 6031769 cheat!
PS: This is nitpicking, but the number of lives should start with 2 Willys with your last life represented by no Willys on the bottom of the screen. Otherwise, you still have 3 lives total, it's just seeing one Willy dancing at the bottom makes me think I still have one life left in reserve instead of none.