lonelyplanet no a general rise everywhere is exactly not what you'd see, with a virus in decline due to restrictions, you end up with only a few people having it, and restrictions means they only mix with the same other people - you still go to work, but you work with the same folk, you still break the rules, but you break the rules with the same people, the main contact points the restrictions work to reduce the spread. so there's very little spread.
Occasionally you'll get a break out into a new community, and you'll get a spike in cases, that might happen when someone gets a new job in the factory bringing it with them, or a care home resident goes home from hospital with it undetected, or a new person enters a prison. That can lead to a big spike in that community because it spreads quickly in the whole community and not slowly.
What people returning from overseas did was create lots of these new community introductions, and the normal expectation would be for rapid spread within the pockets, particularly with the relative lack of restrictions. So pockets is exactly what you'd get from re-seeding of the virus, and because it was re-seeded from India, it's the Indian variant.
A general rise everywhere would be more worrying than introduction from outside.