Yes I think so. Here's his stats in Southampton before we signed him:
13-14: 3.4 tackle, 2.1 interception, 1.5 ariel duels, 7.21 avg rating
14-15: 3.7 tackle, 2.6 inteception, 1.8 ariel duels, 7.51 avg rating
And here's the stats of Rice at West Ham:
19-20: 3.1 tackle, 2 interception, 1.4 ariel duels, 7.01 avg rating
20-21: 1.8 tackle, 1.8 interception, 1.4 ariel duels, 7.01 avg rating
In fact, Schneiderlin at Southampton was better than Rice at West Ham. I remember at that time, everyone wants Schneiderlin, and has no doubts he will be great signing for us.