No, because as PP pointed out the tapering was to avoid the cliff edge effect for those who miss the deadline.
And it has served its purpose: kept the property market afloat / booming when otherwise sales could have plummeted due to fears of Brexit, people furloughed and losing jobs, the difficulty of arranging viewings, surveys etc during lockdown.
I know it seems like a break for the already luckiest - but the property market, even with the SDLT hol is worth billions to the Gvt.
The SDLT for those lower down chains kept the buying going so that those in expensive properties above the SDLT hol threshold were still paying huge amounts of tax.
Every Estate Agent, surveyor, removal company earns VAT for the government
Every person employed in those industries - and many other which are dependent on the property market - did not need to claim furlough money. They continued to pay tax - on money which came from homebuyers.
It's a valid question to ask why the tax exists at all - people paying £15k to the government (plus the VAT on all those services) in order to house themselves.
Most people just want a secure home for their family, and spend their hard earned money accordingly, paying the mortgage - most are not greedy entitled mini property developers.