SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    12498, 13101, 13100, 10699, 10695, 10195, 
    10576, 10696, 9760, 10583, 10701, 10582, 
    10139, 12503, 10575, 9932, 10075, 10135, 
    9952, 10074, 10573, 10577, 10651, 10642, 
    12529, 12515, 12525, 12532, 12523, 
    10198, 10557, 10202
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00141

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 64,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12498,13101,13100,10699,10695,10195,10576,10696,9760,10583,10701,10582,10139,12503,10575,9932,10075,10135,9952,10074,10573,10577,10651,10642,12529,12515,12525,12532,12523,10198,10557,10202) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
9760 product-9760 265/271/275
9932 product-9932 265/271/275
9952 podushka-dekorativnaya-respect-11-30h50 265/271/275
10074 podushka-dekorativnaya-respect-11-50h50 265/271/275
10075 podushka-dekorativnaya-respect-04-50h50 265/271/275
10135 product-10135 265/271/275
10139 podushka-dekorativnaya-persona-03-50h50 265/271/275
10195 podushka-dekorativnaya-magnifico-05-30h50 265/271/275
10198 podushka-dekorativnaya-salon-01-30h50 265/271/275
10202 podushka-dekorativnaya-salon-04-30h50 265/271/275
10557 podushka-dekorativnaya-salon-01-50x50 265/271/275
10573 podushka-dekorativnaya-respect-12-45x45 265/271/275
10575 podushka-dekorativnaya-primo-05-30x50 265/271/275
10576 podushka-dekorativnaya-magnifico-plain-01-30x50 265/271/275
10577 podushka-dekorativnaya-respect-17-30x50 265/271/275
10582 podushka-dekorativnaya-mechta-18-30x50 265/271/275
10583 product-10583 265/271/275
10642 podushka-dekorativnaya-respect-20-50h50 265/271/275
10651 product-10651 265/271/275
10695 product-10695 265/271/275
10696 product-10696 265/271/275
10699 product-10699 265/271/275
10701 product-10701 265/271/275
12498 podushka-dekorativnaya-krasota-17-chernyy-kant-30h50 265/271/275
12503 podushka-dekorativnaya-persona-11-45h45 265/271/275
12515 podushka-dekorativnaya-ribbon-02-chernyy-kant-50h50 265/271/275
12523 podushka-dekorativnaya-ribbon-03-chernyy-kant-50h50 265/271/275
12525 podushka-dekorativnaya-ribbon-03-belyy-kant-50h50 265/271/275
12529 podushka-dekorativnaya-ribbon-02-chernyy-kant-30h50 265/271/275
12532 podushka-dekorativnaya-ribbon-03-chernyy-kant-30h50 265/271/275
13100 podushka-dekorativnaya-les-01-30h50 265/271/275
13101 podushka-dekorativnaya-krasota-17-chernyy-kant-50h50 265/271/275