Okay, as far as I know, local searches ARE taking 3-4 weeks, that's normal. Ignore what your EA said, she's not the professional dealing with them daily.
I just pulled up the email from my old lawyer containing searches, there was:
Regulated local searches - 32 pages (Infotrack)
Water and drainage - 32 pages
Groundsure Avista report - 36 pages
Planning application - made by the owner - 3 pages
But, more importantly, there was a 7 page document from the lawyer himself, which was tailored to the house with relevant information, such as the below.
So, you see, it doesn't matter how quickly the searches come back, what matters is the lawyer finding a considerable amount of time time to read through around 100 or so pages, looking at any problems, and making recommendations to you. If he misses anything, you could sue him.
Thus 'leave us alone for 4 weeks' is entirely appropriate, if not poorly worded.
Some of the things in his 7 page letter include:
General
Searches contain important information about the property you are buying. We have outlined below some of the main points from the search results and attached copies of the individual search results for your records.
Please read this document carefully and contact us as soon as possible if you have any concerns. It is important that any concerns have been addressed and settled before exchanging contracts. You should contact us if you need any further information, an explanation or would like to discuss in greater detail.
Building Regulations
Based on the searches we have carried out for you; we are aware of the following building regulation entries relating to the property:
2006
2007
2017
2018
2022
Dormer extension
GASAFE Record for Installed Gas Boiler Dining room
Install one or more new circuits
Single storey dining room extension
Roads
The Local Search confirms that PLACENAME is adopted by the Local Authority and is a road which is
maintained at the public expense. This means that you have public rights of way to use the roadway.
Drainage Search
The results of the drainage and water search confirms that the property is connected to the mains drainage system for foul waste and surface water.
[a bunch of drainage history]
Groundsure Avista
Enclosed is a copy of the Groundsure Avista Report. The search contains 7 key areas of environmental data including Contaminated Land Assessment, all four major flood risks, ground stability, radon, current and planned energy features, transportation and 10 years of planning data. A brief summary is detailed below.
Contaminated Land
You will note from the Contaminated Land section that the Property has received a ‘Passed’ result, which confirms that for the purposes of your conveyancing transaction the property is not deemed to have any issues regarding contaminated land.
Flooding
No significant flood risks have been identified as a result of the flood risk search but please read the section carefully as some degree of flood risk may still be highlighted. The report shows the different types of flooding and the likely impact of each on the property. It also provides important information about steps you can take to mitigate potential flood risk.
The section on insurance is very important. You will see that the report states that insurance should be available on standard terms. We advise you to obtain quotations from insurers prior to exchange of contracts to ensure that cover is available at a level you can afford.
[a bunch of other stuff electricity, ground stability and so on]
Transportation
No results for Phase 1 or Phase 2 of the HS2 project have been identified within 5km of the property. However, HS2 routes are still under construction and exact alignments may change in the future.
The Property is not within 250 metres of the Crossrail 1 or Crossrail 2 Project.
The Property is not within 250 metres of any active or former railways, subway lines, DLR lines, subway or railway stations.
I hope that helps. The search results that come back aren't just a tick box with: everything okay, everything not okay. They have a load of reading to do.