Now in your reconsideration request make sure you are honest and tell Google everything that the prior agency was up too. Be sure to include all Excel information of removed links and say you are going to make an ongoing effort to remove everything negative. It is common knowledge that Google may not accept your first reconsideration request, so it may take a few times.
With the development of this system, the price is growing under the high level of competition. Many advertisers prefer to expand their activities, including increasing search engines and adding more keywords. The more advertisers are willing to pay for clicks, the higher the ranking for advertising, which leads to higher traffic.[15] PPC comes at a cost. The higher position is likely to cost $5 for a given keyword, and $4.50 for a third location. A third advertiser earns 10% less than the top advertiser, while reducing traffic by 50%.[15] The investors must consider their return on investment and then determine whether the increase in traffic is worth the increase.
While network marketing companies financially incentivize their distributors to sell their products, just like in affiliate marketing, it’s not just the money that motivates word of mouth and it’s not money alone that will make the sale. It’s got to be a game-changing or life-changing product or service to give people something talk about with positive emotions like excitement and enthusiasm, so that the people they talk to want to be a part of it (and fear being left out). If people believe the company has a lousy product and compensation plan, then people won’t feel motivated to talk about it or have persuasive reasons to tell others to buy into it as well. If people don’t believe in the person or company selling it, the seller won’t generate any sales. This is why brands can charge more and generate billions in value, like these top 10 most valuable brands in the world:
Internet marketing isn’t like having the confused shopper experience, where you’re holding an organic and non-organic apple in your hand, wondering which one is truly better. A combined strategy of using organic search with paid search is a powerful one-two punch strategy that increases traffic, generates leads, and converts window shoppers into loyal, repeat customers.
What you are in fact talking about, are Google's death stars like the Shopping box, Knowledge Graph etc. It's fully understandable why many SEOs can't stand them 'cause whole categories of websites (price comparison platforms, for instance) have already fallen victim of such death stars, and there will be certainly numerous other portals, which will lose almost all of their traffic in the near future. Despite your (quite good) suggestions on how to circumvent such an issue, the situation for such an endangered portal can be hopeless when it's its whole business model, which a new Google feature makes obsolete. See for a very famous example.

The Google, Yahoo!, and Bing search engines insert advertising on their search results pages. The ads are designed to look similar to the search results, though different enough for readers to distinguish between ads and actual results. This is done with various differences in background, text, link colors, and/or placement on the page. However, the appearance of ads on all major search engines is so similar to genuine search results that a majority of search engine users cannot effectively distinguish between the two.[1]
Although it may have changed slightly since BrightEdge published its report last year, the data still seem to hold true. Organic is simply better for delivering relevant traffic. The only channel that performs better in some capacities is paid search ads, but that is only for conversions, not overall traffic delivery (Paid Search only accounted for 10 percent of overall total traffic).