yes, bind is capable of enforcing nosuid even if the target has suid. here's a test i ran:
C source code of a.out:
#include <stdio.h>
#include <unistd.h>
#include <sys/types.h>
int main(){
uid_t uid=getuid(), euid=geteuid();
printf("uid: %u, euid: %u\n",uid,euid);
return 0;
}
and then
root@ratma:/# mount -o bind,nosuid /target /bound
root@ratma:/# su hans
hans@ratma:/$ stat /target/a.out
File: /target/a.out
Size: 16712 Blocks: 40 IO Block: 4096 regular file
Device: 18h/24d Inode: 194454 Links: 1
Access: (6755/-rwsr-sr-x) Uid: ( 0/ root) Gid: ( 0/ root)
Access: 2019-12-12 07:52:45.132465174 +0000
Modify: 2019-12-12 07:52:45.132465174 +0000
Change: 2019-12-12 07:53:24.720322010 +0000
Birth: -
hans@ratma:/$ stat /bound/a.out
File: /bound/a.out
Size: 16712 Blocks: 40 IO Block: 4096 regular file
Device: 18h/24d Inode: 194454 Links: 1
Access: (6755/-rwsr-sr-x) Uid: ( 0/ root) Gid: ( 0/ root)
Access: 2019-12-12 07:52:45.132465174 +0000
Modify: 2019-12-12 07:52:45.132465174 +0000
Change: 2019-12-12 07:53:24.720322010 +0000
Birth: -
hans@ratma:/$ id
uid=1000(hans) gid=1000(hans) groups=1000(hans),24(cdrom),25(floppy),27(sudo),29(audio),30(dip),44(video),46(plugdev),109(netdev)
hans@ratma:/$ /target/a.out
uid: 1000, euid: 0
hans@ratma:/$ /bound/a.out
uid: 1000, euid: 1000
success. if it didn't work, it would say "euid: 0" on /bound/a.out :)