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 (
    801, 802, 1091, 658, 1517, 671, 1561, 
    1581, 630, 627, 666, 674
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00102

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "57.61"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 24,
      "rows_produced_per_join": 24,
      "filtered": "100.00",
      "index_condition": "((`eshopuga_upgr_4122`.`cscart_seo_names`.`object_id` in (801,802,1091,658,1517,671,1561,1581,630,627,666,674)) and (`eshopuga_upgr_4122`.`cscart_seo_names`.`type` = 'p') and (`eshopuga_upgr_4122`.`cscart_seo_names`.`dispatch` = '') and (`eshopuga_upgr_4122`.`cscart_seo_names`.`lang_code` = 'en') and ((`eshopuga_upgr_4122`.`cscart_seo_names`.`company_id` = 1) or (`eshopuga_upgr_4122`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "52.81",
        "eval_cost": "4.80",
        "prefix_cost": "57.61",
        "data_read_per_join": "40K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
627 chicken-wings-1kg 301/410/424
630 pork-bacon-250-g 301/410/424
658 carton-of-300ml-novida-soda 301/410/423
666 carton-of-500ml-cocacola-soda 301/410/423
671 kakira-sugar-1kg 301/410/427
674 white-yolk-eggs-tray-of-30 301/410/428
801 8-0z.-tin-of-mayonnaise-lite 301/410/427
802 680grams-bottle-of-ketchup 301/410/427
1091 del-monte-orange-juice-blend-1-litre 301/452/453
1517 libbys-vienna-sausage-142-grams 301/410/424
1561 axion-dish-washing-paste-lime-400-grams 301/452/455
1581 knorr-aromat-original-seasoning-200-grams 301/410/427